12 papers
Non-unital monoidal category of contact manifolds and Legendrian correspondence
Yong-Geun Oh, Junhyuk Park
There are two purposes of the present paper which are interrelated. The first goal is to construct the structure of a non-unital monoidal category of contact mani…
Quantifying information flow along a stochastic trajectory
Yongjae Oh, Euijoon Kwon, Yongjoo Baek
Stochastic information flow (SIF) quantifies information flow at the trajectory level, overcoming the limitations of conventional symmetric, ensemble-averaged measures. However, co…
Metriplectic dynamical systems on contact manifolds
Philip J. Morrison, Yong-Geun Oh
Flows on symplectic, Poisson, contact, and metriplectic manifolds are reviewed in order to describe our main result, which is to associate a natural metriplectic dynamical system o…
Stratifications associated to generic closed two-forms and stratified spaces
Taesu Kim, Yong-Geun Oh
Jae-Suk Park and the second-named author introduce the deformation problem of coisotropic submanifolds of a symplectic manifold as the study of Mauer-Cartan moduli problem of an $L…
Contact triad connection of contact manifolds in almost contact moving frame
Yong-Geun Oh
The notion of \emph{contact triad connection} on contact triads was introduced by Wang and the present author in early 2010's from scratch as the contact analog to the…
Injectivity radius lower bound of convex sum of tame Riemannian metrics and applications to symplectic topology
Jaeyoung Choi, Yong-Geun Oh
Motivated by the aspect of large-scale symplectic topology, we prove that for any pair of complete Riemannian metrics of bounded curvature and \emph{of injectivity ra…